/*
www-ATLAS of Group Representations.
3.L3(4) represented as 18 x 18 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,18,[
"100000000000000000",
"010000000000000000",
"000100000000000000",
"001000000000000000",
"000000100000000000",
"000000010000000000",
"000010000000000000",
"000001000000000000",
"000000000001000000",
"000000000000010000",
"000000000000000100",
"000000001000000000",
"011000001001111011",
"000000000100000000",
"010000111010001101",
"000000000010000000",
"011111000111010111",
"000011111001000001"]);

y:=CambridgeMatrix(1,F,18,[
"010000000000000000",
"001000000000000000",
"000010000000000000",
"000001000000000000",
"100000000000000000",
"000000001000000000",
"000000000100000000",
"000000000010000000",
"000000000000100000",
"000000000000001000",
"000000000000000010",
"000000000000000001",
"000100000000000000",
"001011011000010100",
"010110111101001011",
"110100000001100101",
"111111011010100010",
"000000000001000000"]);

G<x,y>:=MatrixGroup<18,F|x,y>;
print "Group G is 3.L3(4) < GL(18,GF(2))";